133033131011313 has 48 divisors (see below), whose sum is σ = 215495364180096. Its totient is φ = 81526846498560.

The previous prime is 133033131011279. The next prime is 133033131011383. The reversal of 133033131011313 is 313110131330331.

133033131011313 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 31 + 310 + 1 + 1 + 313 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-133033131011313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133033131011383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86608845 + ... + 88131482.

It is an arithmetic number, because the mean of its divisors is an integer number (4489486753752).

Almost surely, 2^{133033131011313} is an apocalyptic number.

133033131011313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133033131011313 is a deficient number, since it is larger than the sum of its proper divisors (82462233168783).

133033131011313 is a wasteful number, since it uses less digits than its factorization.

133033131011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174740596 (or 174740584 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 133033131011313 its reverse (313110131330331), we get a palindrome (446143262341644).

The spelling of 133033131011313 in words is "one hundred thirty-three trillion, thirty-three billion, one hundred thirty-one million, eleven thousand, three hundred thirteen".